Prime p₀= 2412167941802250911 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 30 10 2 22 12 6 32 6 12 22 2 10 30 26 (?)
a_n: 0 26 56 66 68 90 102 108 140 146 158 180 182 192 222 248
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 248
Found by: herby44
db: batch=82, k=16, 26 30 10 2 22 12 6 32

SPT(16)	2412167030857005371	0 26 56 68 78 138 146 180 188 222 230 290 300 312 342 368	-910945245540
STPT(10)	2412167104801848089	0 2 48 50 90 92 132 134 180 182	-837000402822
SPT(16)	2412167232527653631	0 2 6 8 38 42 66 86 372 392 416 420 450 452 456 458	-709274597280
STPT(10)	2412167262402998039	0 2 18 20 60 62 102 104 120 122	-679399252872
SPT(16)	2412167582789497847	0 14 32 66 84 132 144 146 150 152 164 212 230 264 282 296	-359012753064
SPT(16)	2412167600953739507	0 26 42 60 72 132 212 222 260 270 350 410 422 440 456 482	-340848511404
SPT(16)	2412168059591630629	0 4 22 24 48 58 72 94 168 190 204 214 238 240 258 262	117789379718
SPT(16)	2412168674693389009	0 4 30 34 48 54 60 144 154 238 244 250 264 268 294 298	732891138098
SPT(16)	2412168700136003491	0 42 78 90 96 100 106 138 190 222 228 232 238 250 286 328	758333752580
STPT(10)	2412168735240488591	0 2 6 8 48 50 90 92 96 98	793438237680
SPT(16)	2412169079930453713	0 18 58 106 136 178 210 228 238 256 288 330 360 408 448 466	1138128202802